EP4445340A1 - Machine learning-based genotyping process outcome prediction using aggregate metrics - Google Patents
Machine learning-based genotyping process outcome prediction using aggregate metricsInfo
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- EP4445340A1 EP4445340A1 EP22725959.5A EP22725959A EP4445340A1 EP 4445340 A1 EP4445340 A1 EP 4445340A1 EP 22725959 A EP22725959 A EP 22725959A EP 4445340 A1 EP4445340 A1 EP 4445340A1
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- G06—COMPUTING OR CALCULATING; COUNTING
- G06V—IMAGE OR VIDEO RECOGNITION OR UNDERSTANDING
- G06V10/00—Arrangements for image or video recognition or understanding
- G06V10/20—Image preprocessing
- G06V10/30—Noise filtering
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- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06N—COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
- G06N5/00—Computing arrangements using knowledge-based models
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- G06N—COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
- G06N20/00—Machine learning
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- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06V—IMAGE OR VIDEO RECOGNITION OR UNDERSTANDING
- G06V10/00—Arrangements for image or video recognition or understanding
- G06V10/10—Image acquisition
- G06V10/12—Details of acquisition arrangements; Constructional details thereof
- G06V10/14—Optical characteristics of the device performing the acquisition or on the illumination arrangements
- G06V10/145—Illumination specially adapted for pattern recognition, e.g. using gratings
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- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06V—IMAGE OR VIDEO RECOGNITION OR UNDERSTANDING
- G06V10/00—Arrangements for image or video recognition or understanding
- G06V10/98—Detection or correction of errors, e.g. by rescanning the pattern or by human intervention; Evaluation of the quality of the acquired patterns
- G06V10/993—Evaluation of the quality of the acquired pattern
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- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06V—IMAGE OR VIDEO RECOGNITION OR UNDERSTANDING
- G06V20/00—Scenes; Scene-specific elements
- G06V20/60—Type of objects
- G06V20/69—Microscopic objects, e.g. biological cells or cellular parts
Definitions
- the genotyping instruments can include Illumina’s BeadChip imaging systems such as ISCANTM system.
- the instrument can detect fluorescence intensities of millions of beads arranged in sections on mapped locations on image generating chips.
- the genotyping instruments can include an instrument control computer that controls various aspects of the instrument, for example, laser control, precision mechanics control, detection of excitation signals, image registration, image extraction, and data output.
- the genotyping instruments can be used in a wide variety of physical environments and operated by technicians of varying skills levels.
- the sample preparation can take two to three days and can include manual and automated handling of samples.
- the genotyping instrument produces several outputs (also referred to as scan metrics) after scanning and imaging of the image generating chips is completed.
- outputs from the instrument include intensity values for bead images in multi-channel images (such as green and red channel images), registration and focus score values.
- the instrument can also provide a histogram of the intensity values of bead images over a swath or over a section of the sample with one or more swaths.
- Other metrics can be provided by the instrument or calculated from the histogram data. For example, a “separation” metric can be calculated from the intensity histogram.
- the separation metric can identify the percentage of bead images in a swath with intensity values below a minimum “on” intensity for bright images of beads and above a maximum “off’ intensity for dark images of beads. Similarly, “mean on” intensity for bright images of beads and “mean off’ intensity for dark images of beads, and signal to noise ratio can also be calculated.
- the instrument can also provide positions of beads, tiles, swaths, or sections on the image generation chip.
- a genotyping instrument is uniquely identified by an instrument identifier. The genotyping instrument can also provide raw images of image generating chips in multiple channels. The images are down sampled and output in low resolution JPEG or PNG files.
- Intensity data cannot be extracted from the down sampled multi-channel images, so FWHM calculations can be performed during processing cycles or from stored uncompressed images.
- the images can be reviewed for defects that may have affected output data quality.
- the instruments can also output uncompressed image files such as in TIFF image format which require more storage space as these images are uncompressed. Bead image intensity data can be extracted from these images for FWHM calculation, if the FWHM values are not calculated during processing cycles.
- FIG. 3 We illustrate process steps of an example genotyping process 300 in FIG. 3.
- This example genotyping process is referred to as Illumina’s INFINIUMTM Assay Workflow.
- the process is designed to investigate many SNPs at extensive levels of loci multiplexing. Using a single bead type and dual -color (such as red and green) channel approach, the process scales genotyping from hundreds to millions of SNPs per sample.
- the process starts with accession and extraction of DNA samples.
- the process can operate with relatively low input sample such as 200 ng which can assay millions of SNP loci.
- the samples are amplified.
- the amplification process can take from a few hours to overnight to complete.
- the amplified sample undergoes controlled enzymatic fragmentation.
- the image generating chip is prepared for hybridization in a capillary flow-through chamber.
- the samples are then applied to prepared image generating chips and incubated overnight. During this overnight hybridization, the samples anneal to locus-specific 50-mers covalently linked to up to millions of bead types.
- One bead type corresponds to each allele per SNP locus.
- the allelic specificity is conferred by enzymatic base extension followed by fluorescent staining.
- the genotyping instrument or scanner (such as ISCANTM system) detects the fluorescence intensities of the beads and performs genotype calling. [0047] In one example, the results of the genotyping are presented using a metric called “call rate”.
- Call rate is the percentage of single nucleotide polymorphisms (or SNPs) whose quality score (or GenCall score) is greater than a specified threshold. This metric represents the percentage of genotypes that were correctly scanned on the image generating chip. A separate call rate is reported per section of the image generating chip. When call is above a pass percentage, the results are accepted, and the process is considered conclusive. For example, when 98% SNPs in a section have GenCall score above the threshold, the genotyping results for the section are accepted. A different pass percentage value such as lower than 98% or higher than 98% can be used. If the call rate for a section is below the pass percentage, the genotyping process is considered as failed or inconclusive. The genotyping process can span over many days and is therefore, expensive to repeat. Failures in genotyping process can occur due to operational errors (such as mechanical or handling errors) or chemical processing errors.
- the genotyping systems can process multi-channel images of sections of image generating chip. These multi-channel images are of low resolution (or down sampled) as compared to higher resolution images output after post-processing step.
- the post-processing of the low-resolution images can take from one to three days.
- the low- resolution images produced by the genotyping instruments are in the JPEG format.
- the instruments can output red and green channel images immediately after completion of the sample evaluation run.
- the technology disclosed can combine use of FWHM calculations, which reflect whether focus and tilt were correct, with processing of these low-resolution multi-channel images to classify whether the genotyping process is successful (good image of section) or not successful (bad or failed image of section).
- bad focus indicated by a low focus score or by the FWHM calculations, can cause a run to be aborted or for postprocessing to halt, to save resources and recalibrate focus of a scanner.
- the technology disclosed can further process the bad or failed images to determine a category of failure.
- the system can classify the failed images in six or more failure categories: hybridization or hyb failures, spacer shift failures, offset failures, surface abrasion failures, reagent flow failures and overall unhealthy images due to mixed effects, unknown causes, weak signals etc. In time, especially as root cause analysis leads to improved production, more and different causes of failures may be identified.
- the failure category labels for the six failure types can be stored in the failure categories labels database 117.
- a training dataset of labeled process cycle images is stored in the database 138.
- the labeled training examples can comprise of successful (good) and unsuccessful (bad) process cycle images.
- the unsuccessful process cycle images are labeled as belonging to one of the failure categories listed above.
- the training database 138 comprises of at least 2300 training examples. The size of the training database can increase as more labeled image data is collected from laboratories using the genotyping instruments.
- the technology disclosed includes two independent image processing techniques to extract features from process cycle images.
- the production process cycle images are stored in the database 115.
- the feature generator 185 can be used to apply one of the two techniques to extract features from process cycle images for input to machine learning models.
- the first image processing technique is evolved from facial recognition by Eigen face analysis.
- a relatively small number of linear basis such as from 40 to 100 or more image components are identified from tens of thousands of labeled images.
- One approach to form Eigen basis is Principal Component Analysis (PCA).
- PCA Principal Component Analysis
- the production cycle images are represented as a weighted linear combination of basis images for input to classifiers. For example, in one implementation, 96 weights for components of labeled images are used to train the classifiers.
- These principal components also referred to as basis of Eigen images
- the second image processing technique to extract features involves thresholding of section images.
- a production image of a section of an image generating chip captures several physically separated areas. Structures that border the section and that separate physical areas of the section are visible in a production image.
- Thresholding technique determines how much of an active area is producing a desired signal strength.
- the output from thresholding technique can be given as input to a classifier to distinguish good images from bad images.
- a pattern of failures among areas and sections of an image generating chip can be further evaluated for root cause analysis.
- the good vs. bad classifier 151 and the root cause classifier 171 can operate in a training mode and a production or inference mode.
- the FWHM calculations can be combined with features of labeled down sampled process cycle images from the training database 138 are provided as input to the classifiers.
- Classifications from the classifiers are compared with ground truth labels and error in predictions are calculated. Backward propagations are applied to iteratively reduce the error.
- the trained classifiers 151 and 171 are then deployed to classify FWHM input and down sampled process cycle images.
- the image features of production images stored in database 115 are generated by the feature generator 185 and given as input to trained classifiers 151 and 171. Two types of classifiers are trained.
- a good vs. bad classifier can predict successful and unsuccessful production images.
- a root cause analysis classifier can predict failure categories of unsuccessful images.
- One example of classifiers used by the technology disclosed includes random forest classifiers. Other examples of classifiers that can be applied include, gradient boosted regressor, voting regressor, linear regressor, K-nearest neighbors (KNN), multinomial logistic regression, and support vector machines. As larger bodies of labeled images become available, deep learning architectures such as convolutional neural networks (CNNs) can also be used.
- CNNs convolutional neural networks
- the technology disclosed can use a variety of metrics at different levels of aggregation as input to the classifiers.
- the image generating chip is divided into regions of samples also known as sections.
- a section can be divided in two or more swaths of tiles. Each swath can consist of up to four or more rows and up to 34 or more columns of tiles.
- a tile is a portion of a section comprising of 141 by 141 cores. It is understood that smaller or bigger tiles can be created by including fewer than 141 cores per side or more than 141 cores per side of the tile.
- a core or a bead microwell is a location (such as a well) on the image generating chip in which a bead can be positioned.
- the system can aggregate metrics at swath level, tile level, etc.
- the tile level metric can include full width at half maximum (FWHM) values.
- the swath level metrics can include focus score, registration score, separation, signal to noise ratio, mean on intensity, mean off intensity, etc.
- the system can also provide other inputs to the classifier for predicting outcome of the process. Examples of such inputs include position on the image generating chip for the corresponding aggregated or non-aggregated metric, instrument identifier, etc.
- the system can store the aggregated metrics in the database 187.
- the components of the system 100 are all coupled in communication with the network(s) 155.
- the actual communication path can be point-to-point over public and/or private networks.
- the communications can occur over a variety of networks, e.g., private networks, VPN, MPLS circuit, or Internet, and can use appropriate application programming interfaces (APIs) and data interchange formats, e.g., Representational State Transfer (REST), JavaScript Object Notation (JSON), Extensible Markup Language (XML), Simple Object Access Protocol (SOAP), Java Message Service (JMS), and/or Java Platform Module System. All of the communications can be encrypted.
- APIs Application programming interfaces
- JSON JavaScript Object Notation
- XML Extensible Markup Language
- SOAP Simple Object Access Protocol
- JMS Java Message Service
- Java Platform Module System Java Platform Module System
- the communication is generally over a network such as the LAN (local area network), WAN (wide area network), telephone network (Public Switched Telephone Network (PSTN), Session Initiation Protocol (SIP), wireless network, point-to-point network, star network, token ring network, hub network, Internet, inclusive of the mobile Internet, via protocols such as EDGE, 3G, 4G LTE, Wi-Fi and WiMAX.
- the engines or system components of FIG. 1 are implemented by software running on varying types of computing devices. Example devices are a workstation, a server, a computing cluster, a blade server, and a server farm. Additionally, a variety of authorization and authentication techniques, such as username/password, Open Authorization (OAuth), Kerberos, Secured, digital certificates and more, can be used to secure the communications.
- OAuth Open Authorization
- Kerberos Kerberos
- Secured digital certificates and more
- FIG. l is a high-level block diagram of components of the feature generator 185. These components are computer-implemented using a variety of different computer systems as presented below in description of FIG. 12. The illustrated components can be merged or further separated, when implemented.
- the feature generator 185 consists of an aggregation level selector component 215, and two high-level components implementing the two image processing techniques: Principal Component Analysis or PCA-based feature generator 235 and image segmentation-based feature generator 255.
- the PCA-based feature generator comprises of an image scaler 237 and a principal component creator 239.
- the image segmentation-based feature generator 255 comprises of an image transformer 257 and an intensity extractor 259.
- the Aggregation level selector 215 includes logic to select an aggregation level for calculating metrics for input to the classifiers 151 and 171.
- the genotyping instrument can generate several outputs after images of the beads are scanned, registered and intensities for bead images are extracted.
- the instrument generates output files for each run or cycle of the process.
- the files can be stored in a local storage on the instrument control computer or on a network storage.
- a “registration” metric identifies beads by correlating their locations on the image with information in a bead map file which contains locations of beads on the image generating chip.
- the intensity extraction process determines the intensity values for beads on the image.
- the extracted intensity values are stored in an intensity data file.
- the beads on the image generating chip are arranged in tiles, e.g., 141 by 141 cores or bead microwells.
- the aggregation level selector can select an aggregation level for a metric.
- the FWHM values can be aggregated for a tile by calculating an average FWHM for all beads in a tile.
- Other levels of aggregation include swath level metrics. The metrics such as focus score, registration score, separation, signal to noise ratio, mean on intensity and mean off intensity can be aggregated at the swath level. Selecting an appropriate level of aggregation can be useful in managing a large amount of data generated for a process cycle run.
- the intensity values from cores which do not contain beads are not included when calculating the average.
- a swath consisting of 4 rows and 34 columns of tiles with 141 by 141 cores. There can be more than 2.7 million (2,708,610) beads in this swath. Aggregation of metrics at swath level can thus replace millions of data point for individual beads with single aggregated value of metrics.
- swath level metrics include focus score, registration score, separation, signal to noise ratio, mean on intensity, and mean off intensity.
- the instrument can generate aggregate values of these metrics per swath from intensity values of bead images.
- the focus score metric ranges between 0 and 1. The higher the focus score, the shaper and more well- defined the bead images are.
- a low focus score means that the bead images are not well-defined and bead colors bleed into each other.
- the FWHM averages can be used when calculating a focus score.
- the registration value varies depending on the type of the image generating chip.
- the values can range between 0 and 1 when there are multiple swaths per section in an image generating chip or between 0 and 2 when there is a single swath per section in the image generating chip.
- the stripe (or swath) registration score is less than 0.75, the stripe is flagged as potentially misregistered.
- a swath level metric is a “separation” metric that can be calculated from the intensity histogram.
- the separation metric can identify the percentage of bead images in a swath with intensity values below a minimum “on” intensity for bright images of beads and above a maximum “off’ intensity for dark images of beads. Similarly, “mean on” intensity for bright images of beads and “mean off’ intensity for dark images of beads can also be calculated.
- the signal to noise ratio (SNR) is a swath level metric and is an indicator for the image quality. A drop in the SNR value can represent a sample or scanner (or instrument) issue.
- One measure of image signal to noise ratio (SNR) is
- the first image processing technique is evolved from facial recognition by Eigen face analysis.
- One approach to forming an Eigen basis is principal component analysis (PCA).
- PCA-based feature generator 235 applies PCA to resized process images.
- the image scaler component 237 resizes (or rescales) the process cycle images. Scaling reduces size of process images so that they can be processed in a computationally efficient manner by the basis of Eigen images creator component 239. We present details of these components in the following sections.
- the multi-channel images output from the genotyping instrument can be of low resolution, in which case features can be extracted from the low-resolution images without requiring scaling.
- images can be scaled to reduce the resolution for further analysis.
- Higher resolution images obtained from genotyping instruments or scanners can require more computational resources to process.
- the images obtained from genotyping scanners are resized by the image scaler 237 so that images of sections of image generating chips are analyzed at a reduced resolution of 180 x 80 pixels. In one instance, images of the sections obtained from the scanner are at a resolution of 3600 x 1600 pixels and a 20 times reduction of the resolution is applied to resize the images.
- bilinear interpolation is used to reduce size of the section images.
- Linear interpolation is a method of curve fitting using linear polynomials to construct new data points with the range of a discrete set of known data points.
- Bilinear interpolation is an extension of linear interpolation for interpolating functions of two variables (e.g., x and j') on a two-dimensional grid.
- Bilinear interpolation is performed using linear interpolation first in one direction and then again in a second direction. Although each step is linear in the sampled values and in the position, the interpolation as a whole is not linear but rather quadratic in the sample location.
- Other interpolation techniques can also be used for reducing the size of the section images (rescaling) such as nearest-neighbor interpolation and resampling using pixel area relation.
- the first image processing technique applied to section images to generate input features for classifiers is evolved from facial recognition by Eigen face analysis. From tens of thousands of labeled images, a linear basis of 40 to 100 or more image components is identified.
- One approach to forming the basis of Eigen images is principal component analysis (PCA).
- PCA principal component analysis
- a set B of elements (vectors) in a vector space V is called a basis, if every element of V may be written in a unique way as a linear combination of elements of B.
- B is a basis if its elements are linearly independent, and every element of Fis a linear combination of elements of B.
- a vector space can have several bases. However, all bases have the same number of elements, called the dimension of the vector space.
- the basis of the vector space are Eigen images.
- PC A is often used to reduce the dimensions of a tZ-dimensional dataset by projecting it onto a ⁇ -dimensional subspace where k ⁇ d.
- the image is a point in 14,400-dimensional space.
- Eigen space-based approaches approximate the image vectors with lower dimension feature vectors.
- the main supposition behind this technique is that the image space (given by the feature vectors) has a lower dimension than the image space (given by the number of pixels in the image) and that the recognition of images can be performed in this reduced space.
- PCA principal component analysis
- the PCA-based analysis of labeled training images can comprise of the following five steps.
- Step 1 Accessing Multi-dimensional Correlated Data
- the first step in application of PCA is to access high dimensional data.
- training data 20,000 labeled images.
- Each image was resized to 180 x 80 pixels resolution and represented as a point in a 14,400-dimensional space, one dimension per pixel.
- This technique can handle images of higher resolution or lower resolution than specified above.
- the size of the training data set is expected to increase as we collect more labeled images from laboratories.
- Step 3 Computing Covariance Matrix
- the covariance matrix is a d d matrix of d-dimensional space where each element represents covariance between two features.
- the covariance of two features measures their tendency to vary together. The variation is the average of the squared deviation of a feature from its mean. Covariance is the average of the products of deviations of feature values from their means.
- k and feature j Let ⁇ x(l, j), x(2, j), . . ., x(i, j) ⁇ be a set of i examples of feature j, and let ⁇ x(l, k), x(2, k), . . ., x(i, k) ⁇ be a set of i examples of feature k.
- Xj be the mean of feature j and x k be the mean of feature k.
- the covariance of feature j and feature A is calculated as follows:
- the mean vector is a d-dimensional vector where each value in this vector represents the sample mean of a feature column in the training dataset.
- the covariance value Gjk can vary between the - (oy)(o ⁇ ) i.e., inverse linear correlation to + (oy)(o ⁇ ) linear correlation. When there is no dependency between two features the value of Gjk is zero.
- Step 4 Calculating Eigenvectors and Eigenvalues
- the eigenvectors and eigenvalues of a covariance matrix represent the core of PCA.
- the eigenvectors (or principal components) determine the directions of the new feature space and the eigenvalues determine their magnitudes. In other words, eigenvalues explain the variance of the data along the axes of the new feature space.
- Eigen decomposition is a method of matrix factorization by representing the matrix using its eigenvectors and eigenvalues.
- An eigenvector is defined as a vector that only changes by a scalar when linear transformation is applied to it.
- A is a matrix that represents the linear transformation
- v is the eigenvector and k is the corresponding eigenvalue
- Av Xv.
- Step 5 Using Explained Variance to Select Basis for Eigen Images
- the above step can result in 14,400 principal components for our implementation which is equal to the dimension of the feature space.
- An eigenpair consists of the eigenvector and the scalar eigenvalue.
- the explained variance indicates how much information (or variance) can be attributed to each of the principal component.
- We can plot the results of explained measure values on a two-dimensional graph. The sorted principal components are represented along x-axis. A graph can be plotted indicating cumulative explained variance. The first m components that represent a major portion of the variance can be selected.
- the first 40 components expressed a high percentage of the explained variance therefore, we selected the first 40 principal components to form bases of our new feature space.
- 25 to 100 principal components or more than 100 principal components, up to 256 or 512 principal components can be selected to create a bases of Eigen images.
- Each production image to be analyzed by Eigen image analysis is represented as a weighted linear combination of the basis images.
- Each weight of the ordered set of basis components is used as a feature for training the classifier. For instance, in one implementation, 96 weights for components of labeled images were used to train the classifier.
- NMF non-negative matrix factorization
- PCA which learns complete representations of images.
- NMF learns to represent images with a set of basis images resembling parts of images.
- NMF factorizes a matrix X into two matrices W and H, with the property that all three matrices have no negative elements.
- NMF approximates matrix X as a product of two matrices: W (p rows and r columns) and H (r rows and n columns).
- W p rows and r columns
- H r rows and n columns.
- the second image processing technique to extract features from process cycle images is based on thresholding of image areas.
- the image segmentation-based feature generator 255 applies thresholding by first segmenting images of sections of an image generating chip using image segmentor 257 and then extracting intensity of active areas or regions of interest of a section image.
- the thresholding determines how much of an active area is producing a desired signal strength.
- An image generating chip can comprise of multiple sections such as 24, 48, 96 or more, organized into rows and columns. This design enables processing of multiple samples in one process cycle as many samples (one per section) can be processed in parallel. A section is physically separated from other sections so that samples do not mix with each other. Additionally, a section can be organized into multiple parallel regions or stipes referred to as “swaths” (or slots). The structures at borders of sections and swaths are therefore visible in the process cycle images from genotyping scanners. We present below, details of the two components of image segmentation-based feature generator 255 that can implement techniques to transform section images for extraction of image features.
- the image transformer 257 applies a series of image transformation techniques to prepare the section images for extracting intensities from regions of interest. FWHM calculations are performed on intensities from the full resolution images, before thresholding. In one implementation, this process of image transformation and intensity extraction is performed by some or all of the following five steps.
- the image transformation converts image of a section into a binary image consisting of black and bright pixels. Average intensity values of active areas of down sampled image and binary image are given as input features to a classifier to classify the image as a healthy (good) or unhealthy (bad) image.
- the process steps include applying filters to remove noise.
- the first step in the image transformation process is to apply a bilateral filter to process cycle images of sections.
- the bilateral filter is a technique to smooth images while preserving edges. It replaces the intensity of each pixel with a weighted average of intensity values from its neighboring pixels. Each neighbor is weighted by a spatial component that penalizes distant pixels and a range component that penalizes pixels with a different intensity. The combination of both components ensures that only nearby similar pixels contribute to a final result.
- bilateral filter is an efficient way to smooth an image while preserving its discontinuities or edges.
- Other filters can be used such as median filter and anisotropic diffusion.
- the second step in image transformation can be to apply thresholding to output images from step 1.
- Otsu a threshold selection method from gray-level histograms”, IEEE Transactions on Systems, Man, and Cybernetics, Volume 9, Issue 1 that uses histogram of intensities and searches for a threshold to maximize a weighted sum of grayscale variance between pixels assigned to dark and bright intensity classes.
- Otsu attempts to maximize the between-class variance. The basic idea is that well-thresholded classes should be distinct with respect to the intensity values of their pixels and, conversely, that a threshold giving the best separation between classes in terms of their intensity values would be the best threshold.
- Otsu has the property that it is based entirely on computations performed on the histogram of an image, which is an easily obtainable one-dimensional array.
- Otsu is based entirely on computations performed on the histogram of an image, which is an easily obtainable one-dimensional array.
- the third step in image transformation is application of noise reduction Gaussian blur filter to remove speckle-like noise.
- Noise can contaminate the process cycle images with small speckles.
- Gaussian filtering is a weighted average of the intensity of adjacent positions with a weight decreasing with the spatial distance to the center position.
- the fourth step in image transformation includes image morphology operations.
- the binary output images from third step are processed by morphological transformation to fill holes in the images.
- a hole maybe defined as a background region (represented by 0s) surrounded by a connected border of foreground pixels (represented by Is).
- Two basic image morphology operations are “erosion” and “dilation”.
- erosion operation a kernel slides (or moves) over the binary image.
- a pixel (either 1 or 0) in the binary image is considered 1 if all the pixels under the kernel are Is. Otherwise, it is eroded (changed to 0). Erosion operation is useful in removing isolated Is in the binary image. However, erosion also shrinks the clusters of Is by eroding the edges.
- Dilation operation is the opposite of erosion.
- this operation when a kernel slides over the binary image, the values of all pixels in the binary image area overlapped by the kernel are changed to 1, if value of at least one pixel under the kernel is 1. If dilation operation is applied to the binary image followed by erosion operation, the effect is closing of small holes (represented by Os in the image) inside clusters of Is.
- intensity extractor component 259 which performs the fifth step of this image transformation technique.
- the intensity extractor 259 divides section images into active areas or segments by filtering out the structures at the boundaries of sections and swaths.
- the intensity extractor can apply different segmentations to divide section images from eight up to seventeen or more active areas. Examples of areas in a section image include four swaths, four corners, four edges between comers and various vertical and horizontal lines at the borders of the section and the swaths.
- the areas that correspond to known structures that separate active areas are then removed from the image.
- the image portions for remaining active areas are processed by the intensity extractor 259.
- Intensity values are extracted and averaged for each active area of transformed image and corresponding non-transformed image. For example, if intensity values are extracted from 17 active areas of transformed image then the intensity extractor also extracts intensity values from the same 17 active areas of the non-transformed image. Thus, a total of 34 features are extracted per section image.
- the average intensity of an active area can be between 1 and 0. For example, consider intensity of a black pixel is 0 and intensity of a bright (or blank) pixel is 1. If all pixels in an active area are black, then the average intensity of the active area will be 0. Similarly, if all pixels in an active area are bright then the intensity of that area will be 1.
- the active areas in healthy images appear as blank or bright in the binary images while black pixels represent unhealthy images.
- the average intensities of corresponding active areas in grayscale image are also extracted. The average intensities of active areas from both grayscale image and transformed binary image are given as input to the good vs. bad classifier.
- the classification confidence score from the classifier is compared with a threshold to classify the image as a healthy (good) image or an unhealthy (bad) image.
- a threshold value is 80%. A higher value of a threshold can result in more images classified as unhealthy.
- FIG. 4A is an example image illustrating full width at half maximum (FWHM) metric which can indicate a good quality focus of bead images.
- Images 402, 404 and 406 are zoomed-in images of a bead image on an image generating chip. As described above, the beads are positioned in cores or bead microwells at pre-determined locations on the image generating chip. Therefore, the distances between the beads are uniform across the surface of the image generating chip.
- the beads (sometimes also referred to as targets) are of the same size which makes the FWHM values more relevant to assess the image quality.
- the image 406 shows a high level of zoom of an example bead image and shows the bead image within two circles.
- the outer circle pointed to by an edge 412 represents the region of bead chip surrounding a bead where intensity value of the bead image become zero or negligible.
- This circle corresponds to the number of pixels indicated by a bold line (413) along x-axis of graphical plot 410, pointed to by the opposite end of the edge 412.
- the image 406 of the bead is captured using 4x4 pixels.
- images of sizes ranging from 3x3 pixels to 6x6 or even 16x16 pixels can be used to capture image of a bead.
- a rectangular field also could be used, but the beads are round, so a symmetrical field is more efficient than a rectangle.
- the image 404 is a zoomed-out image of a portion of a tile and is captured using 25x25 pixels.
- the image sizes that can be used to capture image 404 can range from 18x18 pixels to 36x36 pixels. Of course, a larger capture image also could be selected from the field of view of a sensor.
- image 406 of the bead as we move closer to the center of the circle (representing bead well or core) where the bead is positioned, the intensity of bead image increases as illustrated in the graphical plot 410.
- a second inner circle in image 406, pointed by the edge 414 indicates the region around the bead where the intensity of the bead image is at half of the maximum value of the bead image intensity.
- the maximum value of intensity is close to the center of the circle where the bead is positioned and corresponds to the maximum value of the image intensity on the plot 410 pointed to by the edge 416.
- the graphical plot 410 is also known as cross-section plot of bead image intensity and can indicate image focus quality.
- FIG. 4B illustrates two variations of the graphical plot 410 in FIG. 4A to show intensity values extracted from an out of focus bead image (graph 430) and from a bead image with good quality focus (graph 440). All beads are of same size, however, when FWHM value is large, the bead image can be blurry and image intensity is spread across more pixels. We can observe that image intensity for an out of focus (or poorly focused) image of a bead is spread across many pixels in a 4x4 pixel map 450 in FIG. 4C.
- the graphical plot 430 in FIG. 4B corresponds to pixel map 450 in FIG. 4C.
- graphical plot 430 that out of focus (or blurred) bead image has a higher FWHM value as the bead image intensity plot 430 spreads out across more pixels resulting in a lower maximum intensity value.
- the low image quality can greatly impact the output from the genotyping process. Poor image quality due to out of focus bead images can impact call rate scores causing inconclusive process output.
- the horizontal axis of graphical plots 410, 430 and 440 represent pixel positions.
- the technology disclosed can use image intensities from 3x3 to 6x6 or more pixels positioned around the center of the core to calculate the FWHM values.
- the calculation of FWHM can be based on linear interpolation of pixel intensity values.
- Some genotyping instruments 111 can calculate FWHM values during image processing and provide this as one of the outputs upon completing the processing cycle. This output is provided before post-processing steps which can take one or more days.
- the good quality focus image of a bead is shown in a pixel map 460 in FIG. 4C and corresponding image intensity plot 440 is presented in FIG. 4B.
- the bead image with good focus has a lower FWHM value as the intensity plot is narrow with a high maximum intensity value as shown in the graphical plot 440.
- the graphical plot 440 in FIG. 4B corresponds to pixel map 460 in FIG. 4C. In pixel map 460, the bead image has good focus therefore, the corresponding FWHM plot 440 is narrow.
- the center of the bead well or core is labeled as 452 in FIG. 4C.
- a weighted combination of pixel image intensities can be used to calculate the image intensity for the bead.
- 4x4 pixel 450 and 460
- fewer pixels such as 3x3 pixels or higher number of pixels such as 5x5 or 6x6 or even 16x16 pixels can be used to calculate bead image intensity.
- the technology disclosed can use FWHM values for bead images output from the genotyping instrument to predict outcome of the genotyping process. We now present an example layout of the image generating chip before presenting examples of multi-channel images.
- FIG. 5 presents an example layout 500 of image generating chip 503.
- An image generating chip has a unique identifier 501 as shown at the bottom end of the chip.
- This example image generating chips as 24 sections, arranged in 2 columns and 12 rows. Other configurations of sections on an image generating chip can be used for example, 12, 48, 96 sections, etc.
- One section is prepared with a sample from a single source hybridized to the surface. This arrangement of sections with different samples on a single image generating chip allows parallel processing of samples in one processing cycle.
- a section 507 can include multiple swaths 509 such as up to four or more swaths.
- a swath is shown as a stripe in a section in FIG. 5.
- the section 507 has four swaths.
- two images of a swath are taken using green and red channels 511 resulting from colored illumination of the beads and/or colored filtering of the multi-channel image.
- a swath can be further divided into smaller regions called tiles.
- An example layout for a tile Al, labeled 515, is shown in FIG. 5. The beads are positioned in cores arranged in a hexagonal pattern. Other bead layout formats can also be used such as rectangular, etc. In hexagonal pattern, each core has the same distance from its neighboring cores.
- a tile has a size of 275 pm (or micron) x 275 pm (or micron). If the pitch (distance between core centers of neighboring cores) is 1.95 pm, there are 141 x 141 cores in the tile as shown in the tile layout 515. Note that a portion of the tile 515 is shown for illustration purposes. If the pitch is increased the number of cores per tile will decrease. For example, a tile of 275 pm x 275 pm can have 115 x 115 cores with a pitch of 2.4 pm.
- a swath can have 4 rows and 34 columns of tiles (136 tiles). It is understood that other sizes of tiles can be used resulting in fewer or a higher number of tiles in a swath.
- a swath can have 565 cores along Y axis (or along the height of the swath) and 4794 cores along X axis (or along the length of the swath) when using a tile layout with 141x141 cores.
- the total number of cores in a swath are 2,708,610 (approximately 2.7 million) and the total number of cores in a section with four swaths are 10,834,440 (approximately 10.8 million).
- a beadchip with 24 sections can have 96 swaths (24 sections x 4 swaths per section). Therefore, the beadchip can have 96 x 136 (13,056) tiles. It is understood that other configurations of sections per beadchip, swaths per section and tiles per swath can be used.
- a section can have fewer than four swaths per section such as 2 swaths per section.
- a beadchip can have fewer than 24 sections such as 12 sections or greater than 24 sections such as 48 or more sections.
- An FWHM map 511 for a swath is shown in FIG. 5.
- the FWHM map in the example illustration has 4 rows of tiles and 34 columns of tiles resulting in a total of 134 tiles per swath.
- the average FWHM value is calculated per tile by averaging the FWHM values of all bead images in the tile.
- one FWHM value replaces up to 19,881 FWHM values in a tile.
- One FWHM map is created per image channel. Therefore, in the example presented here, two FWHM maps are created one each for the green channel image and the red image channel.
- FIG. 6 is an illustration 600 of production images of 24 sections on an image generating chip.
- the image 600 is a post-processed high- resolution grayscale image of the image generating chip.
- the sections are arranged in twelve rows and two columns. Each section can have four swaths (also referred to as slots).
- the illustration 600 shows section images of a successful production cycle, image generating chips with other configurations of sections can also be used such as including 48, 96 or more sections.
- section images of unsuccessful production cycles The production process is vulnerable to both operational and chemical processing errors.
- the operational defects can be caused due to mechanical or sample handling issues.
- Chemical processing errors can be caused by issues in samples or chemical processing of the samples.
- the technology disclosed attempts to classify bad process image cycles occurring due to both operational and chemical processing errors.
- FIGs. 7A and 7B present down sampled low-resolution images of image generating in chip in two channels along with respective post-processed high-resolution images.
- the image 705 is an example low-resolution green channel image that is output from the genotyping instrument after completing the process run.
- the image 707 is an example low- resolution red channel image output from the instrument.
- the instrument stores the red and green channel image files for each image generating chip. In one instance, the instrument stores the images per image generating chip (or BeadChip) with a unique identifier for the image generating chip.
- the output image file can be named according to the following nomenclature: ID LABEL STRIPE SWATH CHANNEL EXTENSION.
- the “ID” in the file name indicates a unique serial number or identifier of the image generating chip.
- a “LABEL” refers to location of the sample in a section on the image generating chip, e.g., R01C01 (row 1, column 1), R01C02 (row 1, column 2), etc.
- a “STRIPE” is a numbered section starting from the top left of a sample on an image generating chip.
- a “SWATH” is a smaller stripe in a section. The name of the swath refers to the location of the image in each stripe. For example, in a 2-swath section, Swath 1 refers to the image of the top half of the strip and Swath 2 refers to the image of the bottom half of the section.
- the “CHANNEL” can be “RED” or “GRN” for red and green channels respectively.
- the image files can be saved as uncompressed TIFF files or compressed JPEG or PNG files.
- the example images 705 and 707 are from an image generating chip with four swaths (or stripes) in a section.
- the images show average FWHM values per tile in each stripe of all sections, which have been calculated during processing cycles or from the uncompressed TIFF images.
- the average FWHM values can range from highest value of 3.25 which is shown as dark gray color and 2.25 which is shown as gray color.
- Average FWHM value of each tile is colored accordingly as shown in the legend 715.
- a higher FWHM value such as 3.25 indicates that the FWHM is 3.25 pixels wide along the horizontal axis such as shown on the graphical plot 430.
- the lowest FWHM value on the legend is 2.25 which indicates a good focus quality for a bead image.
- the FWHM value of 2.25 can correspond to smaller FWHM value along horizontal axis in graphical plot 440.
- the tiles with high average FWHM values such as 3.25 appear as dark red colored and the tiles with low average FWHM values such as 2.25 appear as blue colored.
- the technology disclosed uses an image size of 512x512 pixels to capture the illumination of beads in a tile. Smaller image sizes such as 400x400 pixels or larger image sizes such as 700x700 pixels, 800x800 pixels or 1024x1024 pixels can be used to capture the illumination of beads in a tile. As described with reference to FIG. 5, there can be four swaths in a section of the image generating chip.
- each swath is configured with 4 rows and 16 columns of tiles, and 512x512 pixels are used to capture illumination of beads in a tile.
- the image of a section of a beadchip in FIG. 7A can have 16 rows and 34 columns of average FWHM values when average FWHM is calculated per tile.
- 4x4 pixels around a center of a core are used to calculate FWHM value for a bead image.
- the system can use more pixels or fewer pixels in the analysis region around a center of a core when calculating FWHM value for a bead positioned in the core.
- Some examples of analysis regions are 3x3 pixels, 5x5 pixels, 10x10 pixels, 16x16 pixels, etc. Regions larger than 16x16 can also be used, even as large as 256x256, but without substantial advantage.
- One section on a beadchip can consist of four swaths or stripes. Using the tile configuration of 4 x 34 (or 136) tiles per swath as shown in FIG. 5, the FWHM map for a section can consists of 16 x 34 (or 544) average FWHM values.
- a high average FWHM value can indicate poor focus quality.
- the average FWHM values per tile for a section i.e., 544 average FWHM values are provided as input to the machine learning classifier to classify the section in a beadchip.
- the average FWHM values per tile for a beadchip i.e., 24 x 544 or 13,056 average FWHM values are provided as input to the classifier to classify the beadchip.
- the number of inputs depends on the number of tiles, so other configurations of sample or slide surface will yield different numbers of tiles.
- the technology disclosed can leverage the low-resolution green and red channel images of image generating chips that are output from the genotyping instrument to predict outcome of the genotyping process.
- the post-processed high-resolution images 703 and 709 correspond to images 705 (green channel) and 707 (red channel), respectively. It can take one to three days to process the low-resolution image and output the grayscale high-resolution images. Therefore, the technology disclosed can save post-processing time and resources by predicting inconclusive process outcome using the low-resolution images from the genotyping instrument. Large FWHM values in green and red channel images can indicate problems in the genotyping process. If large FWHM values are observed over multiple process cycles with different samples, then proactive maintenance of the instrument can be scheduled to avoid instrument failure.
- FIG 7B presents another example 750 of a low-resolution red channel image and corresponding grayscale high-resolution image from post-processing. Images of sections (or portions or sections) with poor focus quality are illustrated in dark gray color, labeled as 753, 755, and 757. Comparing the section images from the low-resolution image with the high- resolution post-processed image indicates that sections that have failures due to improper reagent flow (such as six sections on the right side of the image generating chip) or surface abrasion (top left section) have high average FWHM values.
- the legend 751 shows the range of FWHM values from highest (3.25) as dark gray color on the right to lowest (2.25) as gray color on the left.
- FIG. 8 presents an example histogram 800 for intensity value distributions for bead images in a swath.
- the intensity values are plotted along x-axis and y-axis shows the number of beads in the swath with intensity values in a bin.
- the beads can be in one of the two states: on or off.
- the beads in “on” state emit high intensity signal while the beads in “off’ state can emit low intensity signal which are at background signal level.
- the intensity value distribution plot 800 shows distribution of bead intensity values in “bins” which include beads with intensity values within an intensity value range.
- the mean intensity of beads in “off’ state is indicated by a label 805 on the graph and the mean intensity of beads in “on” state is indicated by a label 809.
- a “separation” region 811 is positioned between the highest intensity value of beads in off state and lowest intensity value for beads in on state.
- a cut-off 807 is positioned between the separation region 811 and the lowest intensity value for beads in on state.
- the beads for which we cannot decide whether they are in the on state or off state are positioned in the separation area. Around 5 percent of the beads in a swath can be in the separation region. In the example graph 800, 4.81 percent of bead are in the separation region 811. Good quality processing can result in fewer number of beads in the separation region.
- the mean off, mean on and separation metrics can be given as input along with the average FWHM values to predict outcome of the genotyping process. We now present several examples of bad process cycle images and root cause of failures.
- FIG. 9A shows an example 910 of a section image from an unsuccessful production cycle.
- the image of section 912 in second column and seventh row of the image generating chip in FIG. 9A is dark colored in bottom half portion and slightly light colored in top portion.
- the cause of this failure is linked to the hybridization process. Therefore, the failed image of the section is labeled as “Hyb” failure.
- Hybridization failures can also occur due to failures of robots that handle samples during sample preparation process on image generating chips.
- the call rate for this section is below the 98 percent threshold as shown in the figure. In some cases, the call rate for section from genotyping instruments can be above the pass threshold and even then, the section image can fail due to hybridization error.
- the image of section 914 at row 11 and column 2 has a dark colored region on the right wall. This may also indicate a processing issue.
- the overall call rate of the section image 914 is above the pass percentage of 98% therefore, it is not labeled as a failed image.
- the scanner reads fluorescence from about 700K probes on a section with a redundancy of 10. Therefore, the call rate is based on readout of about 7 million probes.
- hybridization failures in illustration 915 in FIG. 9B.
- Four sections on image generating chip in broken line boundaries show bad production images of sections due to hybridization failure. Note that the call rate values for these four sections are above pass threshold but images of these sections are labeled as failed due to hybridization error.
- FIG. 9C presents an illustration 920 of nine section images that show unsuccessful processing due to spacer shift failure.
- a dark colored marker is placed around the sections.
- the spacer separates samples in each section from other samples in neighboring sections. If the marker is not placed correctly, it can block part of the image signal. The offset error can happen across multiple neighboring sections as shown in FIG. 9C.
- the top portions of nine sections in this figure appear as dark colored. The dark portion on top part of the sections increases as we move from left to right.
- Spacer shift issue is an operational error as it is caused by inaccurate placement of marker by laboratory technicians during preparation of samples on image generating chip.
- FIG. 9D presents three more examples of failed images of sections due to spacer shift failure.
- a box 925 shows five section images with spacer shift failure as top portions of the section images are dark colored increasing in width from top right to top left.
- a box 927 shows two section images that indicate failed process due to spacer shift issue at the bottom portions of the sections.
- a box 929 shows images of two sections that failed due to space shift issue.
- FIG. 9E shows an example of failed images of sections due to unsuccessful processing caused by offset failure.
- offset failure images of sections on the image generating chip are shifted to one side.
- all section images on the image generating chip are shifted towards left side thus the dark colored outer border of the image generating chip on the left edge is cutoff from the image.
- Offset failures can be caused by scanning errors such as scanner misalignment or misplacement of image generating chip on the chip carrier.
- FIG. 9F shows examples of failed section images due to surface abrasion failure.
- the surface abrasion is caused by scratches on surface of sections in image generating chip during manufacturing process or during preparation of samples on sections. The scratches are visible as lines on images of the sections as shown in illustration 935. Note that despite call rate values are above pass threshold for three sections in a broken line box on the left, the images are labeled as failed due to surface abrasion failure.
- FIG. 9G is an illustration 940 of failed section images due to reagent flow failure.
- Ten section images in a box 942 are labeled as failed images due to reagent flow failure.
- the section images failed due to unsuccessful process caused by improper reagent flow.
- reagent is introduced in image generating chip from one side. The reagent flows from one end of the image generating chip towards the opposite end and completely covers all sections. Sometimes, there is an issue in flow of the reagent, and it does not propagate evenly to all sections. In this case, the reagent may become dry when sufficient amount of reagent does not cover a section.
- Improper reagent flow can reduce the strength of emitted signal from some sections as the fluorescence dye may not be evenly distributed over all sections thus impacting the image quality.
- the failed images due to reagent flow failure can appear as darker in color compared to section images representing successful process cycle.
- FIG. 9H shows further examples of failed section images due to reagent flow failure in an illustration 945.
- the reagent flow failure can impact multiple neighboring sections in a region of the image generating chip as shown in FIG. 9G and FIG 9H.
- FIG. 91 presents examples of failed images due to unknown reasons.
- the failed section images are labeled as “unhealthy”.
- the failed images in unhealthy class of failures can be due to mixed or unidentified causes and weak signals.
- the illustration 950 of the images of sections also show an example of spacer failure for section on the top left of the image generating chip.
- the image section on the top left position (row 1 and column 2) is labeled as spacer failure. It can be seen that top portion of the failed section image is dark colored. The portion of dark colored region on the top increases from right corner of the section image to the left comer.
- FIG. 10A and FIG. 10B presents comparative analysis of four regressors to predict average call rate values indicating whether the genotyping process will be successful or inconclusive.
- the training data consists of 2300 labeled examples.
- the graphical plot shows predicted call rate percentage values plotted along y-axis.
- the training data example are plotted along x-axis.
- the four example techniques for which these results are presented include, gradient boosting regressor, random forest regressor, linear regressor and voting regressor.
- the results for the four techniques are presented using four different shaped labels.
- Results for gradient boosted regressor technique is presented in gray colored diamond shaped labels.
- Results for random forest regressor technique are presented in dark gray colored triangle shaped labels.
- Results for linear regression technique are presented in light gray colored square shaped labels and results for voting regressor technique are presented in gray colored star shaped labels.
- Voting regressor has nearly bimodal distribution for the 2300 training examples with majority of the examples positioned close to 100 percent position.
- the results for random forest are distributed from 50 percent to 100 percent positions on the graph.
- the results for linear regressor are distributed between 80 percent to 100 percent positions on the graph with majority of data points positioned above 90 percent position.
- the data for gradient boosted regressor (not visible) is positioned between 95 percent to 100 percent positions.
- FIG. 10B presents a graphical plot 1050 of prediction results in FIG. 10A for the example training data set of 2300 samples.
- the call rates are plotted along x-axis and training data is plotted along y-axis.
- the pass percentage is indicated by an arrow pointing at the 98% mark on the x-axis. It can be seen that majority of data points are above the pass percentage of 98%.
- the failed data points are further grouped into three classes. A low class with a call rate percentage between 50% and 75%, a medium class with a call rate of 76% and 85% and a high class with a call rate of 86% and 97%.
- the technology disclosed can apply a variety of classifiers to distinguish images from good or healthy images from bad or unhealthy images belonging to multiple failure classes.
- Classifiers applied includes random forest, K-nearest neighbors, multinomial logistic regression, and support vector machines. We present the implementation of the technology disclosed using random forest classifier as an example.
- Random forest classifier (also referred to as random decision forest) is an ensemble machine learning technique. Ensembled techniques or algorithms combine more than one technique of the same or different kind for classifying objects.
- the random forest classifier consists of multiple decision trees that operate as an ensemble. Each individual decision tree in random forest acts as base classifier and outputs a class prediction. The class with the most votes becomes the random forest model’s prediction.
- the fundamental concept behind random forests is that a large number of relatively uncorrelated models (decision trees) operating as a committee will outperform any of the individual constituent models.
- the technology disclosed applies the random forest classifiers in a two-staged classification process.
- a first trained random forest classifier performs the task of separating successful production images from unsuccessful production images.
- a second trained random forest classifier performs the task of root cause analysis of unsuccessful production images by predicting the failure class of an unsuccessful image.
- This two-stage classification was selected due to dominance of successful production runs but a one-stage classification can also be used.
- Another reason for selecting the two-stage approach is that it allows us to control the sensitivity threshold for classifying an image as a healthy or successful production image versus an unhealthy or a failed production image. We can increase the threshold in first stage classification thus causing the classifier to classify more production images as failed images. These failed images are then processed by the second stage classifier for root cause analysis by identifying the failure class.
- FIG 11A describes training of two random forest classifiers as shown in an illustration 1100.
- the training data comprises of input features for the labeled process cycle images stored in the training database 138 as shown in FIG. 1.
- the labeled images include both good images from successful production cycles and failed images from unsuccessful production cycles.
- the size of the training database 138 will grow as more labeled production images are received from laboratories performing the genotyping process.
- a random forest classifier with 200 decision trees and a depth of 20 worked well. It is understood that random forest classifiers with a range of 200 to 500 decision trees and a range of depth from 10 to 40 is expected to provide good results for this implementation.
- a training database 1101 including features for 20,000 production cycle images is used to train the binary classifier which is labeled as Good vs Bad classifier 151.
- the same training database can be used to train root cause classifier 171 to predict the failure class.
- the root cause classifier 171 is trained on training database 1121 consisting of only the bad or failed production images as shown in FIG. 11 A.
- decision trees are prone to overfitting.
- bagging technique is used to train the decision trees in random forest.
- Bagging is a combination of bootstrap and aggregation techniques.
- bootstrap during training, we take a sample of rows from our training database and use it to train each decision tree in the random forest. For example, a subset of features for the selected rows can be used in training of decision tree 1. Therefore, the training data for decision tree 1 can be referred to as row sample 1 with column sample 1 or RS1+CS1. The columns or features can be selected randomly.
- the decision tree 2 and subsequent decision trees in the random forest are trained in a similar manner by using a subset of the training data. Note that the training data for decision trees is generated with replacement i.e., same row data can be used in training of multiple decision trees.
- the second part of bagging technique is the aggregation part which is applied during production.
- Each decision tree outputs a classification for each class. In case of binary classification, it can be 1 or 0.
- the output of the random forest is the aggregation of outputs of decision trees in the random forest with a majority vote selected as the output of the random forest.
- votes from multiple decision trees a random forest reduces high variance in results of decision trees, thus resulting in good prediction results.
- each decision tree becomes an expert with respect to training records with selected features.
- the output of the random forest is compared with ground truth labels and a prediction error is calculated.
- the weights of the 96 components are adjusted so that the prediction error is reduced.
- the number of components or Eigen images depends on the number of components selected from output of principal component analysis (PCA) using the explained variance measure.
- PCA principal component analysis
- the good vs. bad classifier uses the image description features from the training data and applies one-vs-the-rest (OvR) classification of the good class (or healthy labeled images) versus the multiple bad classes (images labeled with one of the six failure classes).
- the parameters (such as weights of components) of the trained random forest classifier are stored for use in good vs. bad classification of production cycle images during inference.
- the training of the root cause classifier 171 is performed in a similar manner.
- the training database 1121 comprises of features from labeled process cycle images from bad process cycles belonging to multiple failure classes.
- the random forest classifier 171 is trained using the image description features for one-vs-the-rest (OvR) classification of each failure class verses the rest of the labeled training examples.
- FIG. 11B shows the two-stage classification of production images using the good vs. the bad classifier 151 in a first stage and a root cause classifier 171 in a second stage.
- the process is presented using a sequence of process flow steps labeled from 1 to 9. The process starts at a step 1 by accessing a trained random forest classifier labeled as good vs. bad classifier 151.
- Input features of production images stored in a database 1130 are provided as input to the classifier 151.
- the classifier distinguishes good images belonging to successful process cycle from bad images belonging failed process cycles.
- the bad images belong to multiple failure classes for example, each image can belong to one of the six failure classes as described above.
- the trained classifier accesses a basis of Eigen images with which to analyze a production image.
- the trained classifier creates image description features for the production image based on linear combination of Eigen images.
- the weights of the Eigen images are learned during the training of the classifier as described above.
- each decision tree in the random forest classifier predicts output for each class, i.e., whether the image belongs to one of the seven classes (one good class and six failure classes). Therefore, each decision tree in the random forest will output seven probability values, i.e., one value per class.
- the results from the decision trees are aggregated and majority vote is used to predict the image as good or bad. For example, if more than 50% of the decision trees in the random forest classify the image as good, the image is classified as a good image belonging to a successful production cycle.
- the sensitivity of the classifier can be adjusted for example, by setting the threshold higher will result in more images classified as bad.
- the output from the classifier 151 is checked. If the image is classified as a good image (step 3), the process ends (step 4). Otherwise, if the image is classified as a bad image indicating a failed process cycle (step 5), the system invokes root cause classifier 171 (step 6).
- the root cause classifier is applied in the second stage of the two-stage process to determine the class of failure of the bad image.
- the process continues in the second stage by accessing the production image input feature for the bad image (step 7) and providing the input features to the trained root cause classifier 171 (step 8).
- Each decision tree in the root cause classifier 171 votes for the input image features by applying the one-vs-the-rest classification. In this case, the classification determines whether the image belongs to one of the six failure class versus the rest of the five failure classes.
- Each decision tree provides classification for each class. Majority votes from decision trees determine the failure class of the image (step 9).
- k-NN K-nearest neighbors
- KNN K-nearest neighbors
- the k-NN algorithm assumes similar examples (or section images in our implementation) exist in close proximity.
- the k-NN algorithm captures the idea of similarity (also referred to as proximity, or closeness) by calculating the distance between data points or images.
- a straight-line distance or Euclidean distance
- the output is a class membership, for example, a good image class or a bad image class.
- An image is classified by a plurality of votes of its neighbors, with the object being assigned to the class most common among its k nearest neighbors.
- the value of k is a positive integer.
- the prediction of the k-NN algorithm become more stable due to majority voting (in classification) and averaging (in regression).
- the algorithm is more likely to make more accurate predictions, up to a certain value of k.
- the value of k in the range of 6 to 50 is expected to work.
- classifiers that can be trained and applied by the technology disclosed include multinomial logistic regression, support vector machines (SVM), gradient boosted trees, Naive Bayes, etc.
- SVM support vector machines
- gradient boosted trees Naive Bayes
- Naive Bayes Naive Bayes
- Support vector machines classifier also performed equally well as random forest classifier.
- An SVM classifier positions a hyperplane between feature vector for the good class vs feature vectors for the multiple bad classes.
- the technology disclosed can include training a multinomial logistic regression.
- the multinomial regression model can be trained to predict probabilities of different possible outcomes (multiclass classification).
- the model is used when the output is categorical. Therefore, the model can be trained to predict whether the image belongs to a good class or one of the multiple bad classes.
- the performance of the logistic regression classifier was less than the random forest and SVM classifiers.
- the technology disclosed can include training a gradient boosted model which is an ensemble of prediction models such as decision trees.
- the model attempts to optimize a cost function over function space by iteratively choosing a function that points in the negative gradient direction. For example, the model can be trained to minimize the mean squared error over the training data set. Gradient boosted model required more training time as compared to other classifiers.
- the technology disclosed can include training Naive Bayes classifier that assume that the value of a particular feature is independent of the value of any other feature.
- a Naive Bayes classifier considers each of the features to contribute independently to the probability of an example belonging to a class.
- Naive Bayes classifier can be trained to classify images in a good class vs. multiple bad classes. Particular Implementations
- the technology disclosed is related to flagging as suspect, a multi-channel image from extension of probes on beads during a sample evaluation run.
- the flagging of image as suspect can potentially avoid post-processing of the multi-channel image when the image is of too low of quality for reliable post-processing.
- the technology disclosed can be practiced as a system, method, device, product, computer readable media, or article of manufacture.
- One or more features of an implementation can be combined with the base implementation. Implementations that are not mutually exclusive are taught to be combinable.
- One or more features of an implementation can be combined with other implementations. This disclosure periodically reminds the user of these options. Omission from some implementations of recitations that repeat these options should not be taken as limiting the combinations taught in the preceding sections - these recitations are hereby incorporated forward by reference into each of the following implementations.
- the technology disclosed can be practiced as a method of avoiding post-processing of an image from extension of probes on beads during a sample evaluation run.
- the method can include receiving a full resolution image of beads in an array of tiles on an image generating chip (also referred to as a beadchip).
- the method can include calculating averages of full width at half max (FWHM) values over each tile in each image channel. Alternatively, average FWHM values across two or more adjoining tiles in the image channels can be calculated.
- the method includes using a trained classifier to predict a likelihood of failure score for the sample evaluation run from the average FWHM values of the tiles.
- the method includes reporting the likelihood of failure score for the sample evaluation run.
- the image of beads in the array of tiles on the beadchip is a multi-channel image including at least a first and a second image channel.
- the channels of the multi-channel images are red and green channels resulting from colored illumination and/or colored filtering during collection of the multi-channel image.
- the image generating chip (or beadchip) can be divided into regions of samples.
- a region of sample is a section of the image generating chip which is prepared using sample from a single source.
- Other implementations of the technology can define regions of samples that are larger than sections of the image generating chip.
- the method can predict from the average FWHM values of the tiles within the samples, the likelihood of failure score prior to post-processing of individual samples.
- the trained classifier can further predict likelihood scores for alternative root causes of failures.
- the method can include reporting the likelihood score for at least one of the alternative root causes.
- the root causes of failures can include reagent flow failure, offset (scanner misalignment) failure, spacer shift failure, hybridization failure, surface abrasion failure or overall unhealthy pattern. More and different causes may be identified as more failure data is collected from laboratories and analyzed. The method can provide colorized images of the average FWHM values for the tiles to an operator to evaluate the root cause of failure.
- the regions of samples (or sections) on the beadchip can be divided into one or more swaths of tiles.
- the region of sample is divided into two swaths.
- the region of sample is divided into four or more swaths.
- a swath can comprise of at least two rows and at least eighteen columns of tiles.
- the swath comprises of four rows and thirty -four columns of tiles. It is understood that other configurations of tiles in a swath are possible that can have up to four or more rows and up to thirty-four or more columns of tiles in a swath.
- the tile comprises at least ten thousand cores or bead wells arranged in at least one hundred rows configured to hold beads.
- the technology disclosed can calculate the following swath-level metrics for input to the trained classifier. It is understood that these metrics are presented as examples, other metrics can be calculated using output from the sample evaluation run. The technology disclosed can also calculate these metrics at other levels of aggregations such as at a tile-level or at a section -level.
- the method can include calculating average of focus score values of images of the beads over each swath in each image channel.
- a trained classifier can predict a likelihood of failure score for the sample evaluation run from the average focus score values.
- the method can include calculating average of registration score values of images of the beads over each swath in each image channel.
- a trained classifier can predict a likelihood of failure score for the sample evaluation run from the average registration score values.
- the method can include calculating a separation metric over each swath in each image channel.
- the separation metric can identify a percentage of images of the beads in a swath with intensity values below a minimum value of the intensity for a bright image of the beads in an on state and above a maximum value of the intensity for a dark image of the beads in an off state.
- a trained classifier can predict a likelihood of failure score for the sample evaluation run from the separation metric values.
- the method can include calculating a signal to noise ratio value of images of the beads over each swath in each image channel.
- a trained classifier can predict a likelihood of failure score for the sample evaluation run from the signal to noise ratio values.
- the method can include calculating a mean intensity value of bright images of the beads in an on state over each swath in each image channel.
- a trained classifier can predict a likelihood of failure score for the sample evaluation run from the mean on intensity value.
- the method includes calculating a mean intensity value of dark images of the beads in an off state over each swath in each image channel.
- a trained classifier can predict a likelihood of failure score for the sample evaluation run from the mean off intensity value.
- the method can include providing an instrument identifier as input to the trained classifier for predicting failure of the sample evaluation run.
- the method can include providing a position of the tile on the beadchip along with average FWHM value to the trained classifier for predicting failure of the sample evaluation run.
- implementations consistent with this method may include a non-transitory computer readable storage medium storing instructions executable by a processor to perform any of the methods described above.
- implementations may include a system with memory loaded from a computer readable storage medium with program instructions to perform the any of the methods described above. The system can be loaded from either a transitory or a non- transitory computer readable storage medium.
- Another method implementation of the technology disclosed can include calculating aggregate level metrics from output of sample evaluation process.
- An image generating chip can comprise of multiple sections of samples and each section can contain millions of beads.
- the method can calculate aggregate level metrics at various levels of aggregation of the images for use as input to predict process outcome. Therefore, the technology disclosed can reduce millions of data points output from the process to a manageable number of data points which can be processed efficiently to predict process outcome.
- the levels of aggregation can include tile-level metrics and swath-level metrics.
- a tile is a region of the image generating chip that can comprise, for example, of 141 by 141 cores or bead microwells. It is understood that fewer or higher number of cores can be used to form a tile. For example, size of tiles can vary from regions of 100 by 100 cores up to 300 by 300 cores. With future sensor development, regions of 600 by 600 cores may be expected or even 1200 by 1200 cores.
- a core is a location on the image generating chip in which a bead is positioned. The tile dimensions are dependent on the space between neighboring cores (i.e., core pitch). In one example, each tile is approximately 275x275 microns.
- the core pitch With a core pitch of 1.95 pm in a hexagonal pattern, this results in 141x141 cores per tile.
- the core pitch can be 2.4 pm in a hexagonal pattern resulting in 115x115 cores per tile.
- the lower bound of the core pitch is dependent on the processing strength of the image control and analysis software so that it can extract intensities and provide primary metrics as output.
- the number of cores per tile depends on core pitch, tile size and core arrangement pattern.
- a swath can comprise two or more tiles, a section can comprise one or more swaths and the image generation chip can comprise two or more sections.
- a section is usually prepared by using sample from a single source.
- This method implementation can incorporate any of the features of the first method implementation described above.
- alternative combinations of system features are not individually enumerated.
- Features applicable to systems, methods, and articles of manufacture are not repeated for each statutory class set of base features. The reader will understand how features identified in this section for one statutory class can readily be combined with base features in other statutory classes.
- implementations consistent with this method may include a non-transitory computer readable storage medium storing instructions executable by a processor to perform any of the methods described above.
- implementations may include a system with memory loaded from a computer readable storage medium with program instructions to perform the any of the methods described above. The system can be loaded from either a transitory or a non- transitory computer readable storage medium.
- aspects of the technology disclosed can be practiced as a system that includes one or more processors coupled to memory.
- the memory is loaded with computer instructions to avoid post-processing of an image from extension of probes on beads during a sample evaluation run.
- the system includes logic to receive an image of beads in an array of tiles on an image generating chip (also referred to as a beadchip).
- the system includes logic to calculate averages of full width at half max (FWHM) values over each tile in the image channels. Alternatively, average FWHM values across two or more adjoining tiles in the image channels can be calculated.
- a trained classifier can predict a likelihood of failure score for the sample evaluation run from the average FWHM values of the tiles.
- the system includes logic to report the likelihood of failure score for the sample evaluation run.
- Another system implementation of the technology disclosed can calculate aggregate level metrics from output of sample evaluation process.
- the system can include one or more processors coupled to memory.
- the memory is loaded with computer instructions to process down-sampled images of beads on image generating chips that are available immediately after the completion of process run.
- An image generating chip can comprise of multiple sections of samples and each section can contain millions of beads.
- the technology disclosed can calculate aggregate level metrics at various levels of aggregation of the images for use as input to predict process outcome. Therefore, the technology disclosed can reduce millions of data points output from the process to a manageable number of data points which can be processed efficiently to predict process outcome.
- the levels of aggregation can include tile-level metrics and swath-level metrics.
- a tile is a region of the image generating chip that can comprise, for example, of 141 by 141 cores or bead microwells. It is understood that fewer or higher number of cores can be used to form a tile. For example, size of tiles can vary from regions of 100 by 100 cores up to 300 by 300 cores. With future sensor development, regions of 600 by 600 cores may be expected or even 1200 by 1200 cores.
- a core is a location on the image generating chip in which a bead is positioned. The tile dimensions are dependent on the space between neighboring cores (i.e., core pitch). In one example, each tile is approximately 275x275 microns.
- the core pitch With a core pitch of 1.95 pm in a hexagonal pattern, this results in 141x141 cores per tile.
- the core pitch can be 2.4 pm in a hexagonal pattern resulting in 115x115 cores per tile.
- the lower bound of the core pitch is dependent on the processing strength of the image control and analysis software so that it can extract intensities and provide primary metrics as output.
- the number of cores per tile depends on core pitch, tile size and core arrangement pattern.
- a swath can comprise two or more tiles, a section can comprise one or more swaths and the image generation chip can comprise two or more sections.
- a section is usually prepared by using sample from a single source.
- the computer implemented systems can incorporate any of the features of methods described immediately above or throughout this application that apply to the method implemented by the system. In the interest of conciseness, alternative combinations of system features are not individually enumerated. Features applicable to systems, methods, and articles of manufacture are not repeated for each statutory class set of base features. The reader will understand how features identified in this section for one statutory class can readily be combined with base features in other statutory classes.
- implementations may include a non-transitory computer readable storage medium storing instructions executable by a processor to perform functions of the system described above.
- implementations may include a method performing the functions of the system described above.
- a non-transitory computer readable medium can be loaded with program instructions executable by a processor.
- the program instructions when executed, implement the computer-implemented method described above.
- the program instructions can be loaded on a non-transitory CRM and, when combined with appropriate hardware, become a component of one or more of the computer- implemented systems that practice the method disclosed.
- a method of avoiding post-processing of an image from extension of probes on beads during a sample evaluation run including: receiving an image of beads in an array of tiles on a beadchip, calculating averages, over each tile in image channel, of full width at half max (FWHM) values of images of the beads, predicting from the average FWHM values of the tiles, using a trained classifier, a likelihood of failure score for the sample evaluation run, and reporting the likelihood of failure score for the sample evaluation run.
- FWHM full width at half max
- a system including one or more processors coupled to memory, the memory loaded with computer instructions to avoid post-processing of an image from extension of probes on beads during a sample evaluation run , the instructions, when executed on the processors, implement actions comprising: receiving an image of beads in an array of tiles on a beadchip, calculating averages, over each tile in image channel, of full width at half max (FWHM) values of images of the beads, predicting from the average FWHM values of the tiles, using a trained classifier, a likelihood of failure score for the sample evaluation run, and reporting the likelihood of failure score for the sample evaluation run.
- FWHM full width at half max
- the beadchip comprises regions of samples; the regions comprise one or more swaths of tiles; and a swath comprises at least two rows and at least eighteen columns of tiles.
- a non-transitory computer readable storage medium impressed with computer program instructions to avoid post-processing of an image from extension of probes on beads during a sample evaluation run the instructions, when executed on a processor, implement a method comprising: receiving an image of beads in an array of tiles on a beadchip, calculating averages, over each tile in image channel, of full width at half max (FWHM) values of images of the beads, predicting from the average FWHM values of the tiles, using a trained classifier, a likelihood of failure score for the sample evaluation run, and reporting the likelihood of failure score for the sample evaluation run.
- FWHM full width at half max
- non-transitory computer readable storage medium of any one of clauses 33 to 37 implementing the method further comprising: providing colorized images of the average FWHM values for the tiles to an operator to evaluate for root cause.
- 39. The non-transitory computer readable storage medium of any one of clauses 34 to 38, wherein: the beadchip comprises regions of samples; the regions of samples comprise one or more swaths of tiles; and a swath comprises at least two rows and at least eighteen columns of tiles.
- non-transitory computer readable storage medium of clause 39 or 40 implementing the method further comprising: calculating averages, over each swath in each image channel, of focus score values of images of the beads, predicting from the average focus score values, using the trained classifier, a likelihood of failure score for the sample evaluation run.
- non-transitory computer readable storage medium of any one of clauses 40 to 43 implementing the method further comprising: calculating, over each swath in each image channel, a signal to noise ratio value of images of the beads, predicting from the signal to noise ratio values, using the trained classifier, a likelihood of failure score for the sample evaluation run.
- non-transitory computer readable storage medium of any one of clauses 40 to 44 implementing the method further comprising: calculating, over each swath in each image channel, a mean intensity value of bright images of the beads in an on state, predicting from the mean on intensity value, using the trained classifier, a likelihood of failure score for the sample evaluation run.
- FIG. 12 is a simplified block diagram of a computer system 1200 that can be used to implement the technology disclosed.
- Computer system typically includes at least one processor 1272 that communicates with a number of peripheral devices via bus subsystem 1255.
- peripheral devices can include a storage subsystem 1210 including, for example, memory subsystem 1222 and a file storage subsystem 1236, user interface input devices 1238, user interface output devices 1276, and a network interface subsystem 1274.
- the input and output devices allow user interaction with computer system.
- Network interface subsystem provides an interface to outside networks, including an interface to corresponding interface devices in other computer systems.
- the good vs. bad classifier 151 is communicably linked to the storage subsystem and user interface input devices.
- User interface input devices 1238 can include a keyboard; pointing devices such as a mouse, trackball, touchpad, or graphics tablet; a scanner; a touch screen incorporated into the display; audio input devices such as voice recognition systems and microphones; and other types of input devices.
- pointing devices such as a mouse, trackball, touchpad, or graphics tablet
- audio input devices such as voice recognition systems and microphones
- use of the term “input device” is intended to include all possible types of devices and ways to input information into computer system.
- User interface output devices 1276 can include a display subsystem, a printer, a fax machine, or non-visual displays such as audio output devices.
- the display subsystem can include a cathode ray tube (CRT), a flat-panel device such as a liquid crystal display (LCD), a projection device, or some other mechanism for creating a visible image.
- the display subsystem can also provide a non-visual display such as audio output devices.
- output device is intended to include all possible types of devices and ways to output information from computer system to the user or to another machine or computer system.
- Storage subsystem 1210 stores programming and data constructs that provide the functionality of some or all of the modules and methods described herein. These software modules are generally executed by processor alone or in combination with other processors.
- Memory used in the storage subsystem can include a number of memories including a main random access memory (RAM) 1232 for storage of instructions and data during program execution and a read only memory (ROM) 1234 in which fixed instructions are stored.
- the file storage subsystem 1236 can provide persistent storage for program and data files, and can include a hard disk drive, a floppy disk drive along with associated removable media, a CD- ROM drive, an optical drive, or removable media cartridges.
- the modules implementing the functionality of certain implementations can be stored by file storage subsystem in the storage subsystem, or in other machines accessible by the processor.
- Bus subsystem 1255 provides a mechanism for letting the various components and subsystems of computer system communicate with each other as intended. Although bus subsystem is shown schematically as a single bus, alternative implementations of the bus subsystem can use multiple busses.
- Computer system itself can be of varying types including a personal computer, a portable computer, a workstation, a computer terminal, a network computer, a television, a mainframe, a server farm, a widely -distributed set of loosely networked computers, or any other data processing system or user device. Due to the ever-changing nature of computers and networks, the description of computer system depicted in FIG. 12 is intended only as a specific example for purposes of illustrating the technology disclosed. Many other configurations of computer system are possible having more or less components than the computer system depicted in FIG. 12.
- the computer system 1200 includes GPUs or FPGAs 1278. It can also include machine learning processors hosted by machine learning cloud platforms such as Google Cloud Platform, Xilinx, and Cirrascale. Examples of deep learning processors include Google’s Tensor Processing Unit (TPU), rackmount solutions like GX4 Rackmount Series, GX8 Rackmount Series, NVIDIA DGX-1, Microsoft’ Stratix V FPGA, Graphcore’s Intelligent Processor Unit (IPU), Qualcomm’s Zeroth platform with Snapdragon processors, NVIDIA’ s Volta, NVIDIA’ s DRIVE PX, NVIDIA’s JETSON TX1/TX2 MODULE, Intel’s Nirvana, Movidius VPU, Fujitsu DPI, ARM’s DynamicIQ, IBM TrueNorth, and others.
- machine learning processors hosted by machine learning cloud platforms such as Google Cloud Platform, Xilinx, and Cirrascale. Examples of deep learning processors include Google’s Tensor Processing Unit (TPU), rackmount solutions
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| US11514325B2 (en) * | 2018-03-21 | 2022-11-29 | The Regents Of The University Of California | Method and system for phase recovery and holographic image reconstruction using a neural network |
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